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Finding the Third Proportional to 51,672.94 and 73,136.53

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Solution

The third proportional to 51,672.94 and 73,136.53 is: 103,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,672.94 : 73,136.53 = 73,136.53 : x
  2. Step 2: Convert to fraction form
    51,672.94/73,136.53 = 73,136.53/x
  3. Step 3: Cross multiply
    51,672.94x = 73,136.53 × 73,136.53
  4. Step 4: Simplify right side
    51,672.94x = 5,348,952,203.28
  5. Step 5: Solve for x
    x = 5,348,952,203.28/51,672.94
  6. Step 6: Final answer
    x = 103,515.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.